"The demand is going through the roof and people just can't get enough," Mr Messenger said.

"Supplies are pretty tight so distillers all over the country are stepping up to meet the market there. We're pumping it out, getting out as much as we can make."

As of Tuesday, Husk was struggling to fill a huge number of orders and had ramped up production.

Mr Messenger said the distillery's "absolute objective" was simply to stay afloat.

Distillers across the county have switched up operations to tackle the sanitiser shortage, including the famed Bundaberg Rum Distillery.

The country's oldest distillery, Beenleigh Rum Distillery, has also turned its focus to hand sanitiser, using existing staff and production lines.

Minister for Manufacturing Cameron Dick said his department reached out to distilleries to ensure a steady supply of sanitiser.

The famous Bundaberg Rum Distillery is also producing sanitiser. Picture: Supplied

"We want to see more of this and are ready and eager to work with and support manufacturers who can help us get more products into our hospitals, our schools and our supermarkets and stores," he said.

"This is the time to think laterally and broadly about how you and your business can adapt and contribute to our state's COVID-19 coronavirus response."

Beenleigh Rum Distillery owner and Bickfords Group Angelo Kotses managing director said: "We originally planned a small run of only 1500 cartons, but when the Queensland Government approached us we were more than happy to help by providing hand sanitiser for essential needs throughout the state."